Answer:
Differential equation

Solution

Value of constant k=0.327 days^(-1)
The rumor reaches 80% at 8.48 days.
Step-by-step explanation:
We know
y(t): proportion of people that heard the rumor
y'(t)=ky(1-y), rate of spread of the rumor
Differential equation

Solving the differential equation

Initial conditions:

Value of constant k=0.327 days^(-1)
At what time the rumor reaches 80%?

The rumor reaches 80% at 8.48 days.
Answer: y = (1 - 0.527)^t
Step-by-step explanation:
y=e^(-0.75t)
y=(e^-0.75)^t
y= 0.47236655^t
1 - 0.47236655 = 0.52763345
y = (1 - 0.527)^t
Answer:
w = -1.266
Step-by-step explanation:
distribute the 5 by everything in the parenthesis and then bring everyhting down then you should have a regular equation to work w
Answer:
40 Minutes.
Step-by-step explanation:
The current time = 4:12 p.M.
Emma's mom will be home from work in 70 minutes.
70 minutes = 1 hour 10 Minutes= 1: 10 Hours

Therefore, Emma's Mom will get home by 5: 22 p.m.
Emma has gymnastics lessons at 6 : 00 p.M.
To determine how much time Emma will have between the time that her mom gets home from work and the beginning of gymnastics lessons, we simply subtract 5:22 from 6.

Emma will have 40 Minutes.
Answer:The answer is 130
Step-by-step explanation: